By Zhilin Li
With the frequent use of GIS, multi-scale illustration has develop into an incredible factor within the realm of spatial info dealing with. targeting geometric adjustments, this source offers complete assurance of the low-level algorithms to be had for the multi-scale representations of other different types of spatial good points, together with element clusters, person traces, a category of strains, person components, and a category of parts. It additionally discusses algorithms for multi-scale illustration of three-D surfaces and three-D positive factors. Containing over 250 illustrations to complement the dialogue, the e-book presents the newest study effects, resembling raster-based paintings, set of rules advancements, snakes, wavelets, and empirical mode decomposition.
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Extra resources for Algorithmic Foundation of Multi-Scale Spatial Representation (2006)(en)(280s)
Point reduction: Reducing the number of points for representation by removing the less important points from a line so that only the so-called critical points are retained. Smoothing: Making the line appear smoother. Typification: Keeping the typical pattern of line bends while removing some. There are two types of smoothing: filtering and curve fitting. Filtering means to filter out the high-frequency component (or small details) of a line so that the line appears smoother. fm Page 21 Monday, September 11, 2006 4:22 PM Introduction 21 curve through a set of points.
19a shows another type of qualitative measure. However, it is based on the concept of distance. The Euclidean distance is a quantitative metric between two points. Efforts have been made to extend the concept to describe the metric between lines and areas. Minimum distance, maximum distance, and centroid distance are widely used in geo-information science. , 2005). 19 Distance relations between two spatial features. fm Page 17 Monday, September 11, 2006 4:22 PM Introduction 17 It is clear that after a scale reduction the map space is reduced.
3 Connectedness between raster pixels. (a) Four-adjacency and (b) eight-adjacency. may consist of a set of connected straight line segments, but it has no thickness. An area is a part of a plane and is represented by its boundary—a closed line. 4a–c shows the representations of two points, a line, and an area in vector space, respectively. In raster space a point is represented by a pixel with certain size, and the coordinates of a point are defined by two integer numbers, that is, row and column.
Algorithmic Foundation of Multi-Scale Spatial Representation (2006)(en)(280s) by Zhilin Li